The Art And Craft Of Problem Solving Book Pdf
Introduction
Problem-solving is an essential skill that every individual needs to learn. It is a process of finding solutions to complex or simple problems. The Art and Craft of Problem Solving book is an excellent guide for anyone who wants to develop their problem-solving skills. This book is written by Paul Zeitz, a mathematics professor at the University of San Francisco.
Overview of the Book
The Art and Craft of Problem Solving book is an excellent guide for anyone who wants to improve their problem-solving skills. The book has a total of 352 pages and is divided into two parts. The first part of the book covers the basics of problem-solving, while the second part covers advanced problem-solving techniques.
The book starts with an introduction to problem-solving and its importance. The author then goes on to discuss various problem-solving strategies such as working backward, pattern recognition, and breaking down problems into smaller parts.
Part One: Basics of Problem Solving
The first part of the book covers the basics of problem-solving. It includes chapters on problem-solving strategies, problem-solving techniques, and problem-solving tools.
Chapter 1: The Art of Problem Solving
This chapter introduces the reader to the art of problem-solving. It discusses the importance of problem-solving and the characteristics of a good problem solver. It also discusses various problem-solving strategies such as trial and error, working backward, and pattern recognition.
Chapter 2: Strategies for Problem Solving
This chapter covers various problem-solving strategies such as working backward, pattern recognition, and breaking down problems into smaller parts. It also discusses the importance of using diagrams, tables, and graphs to solve problems.
Chapter 3: Techniques for Problem Solving
This chapter covers various problem-solving techniques such as brainstorming, mind mapping, and the fishbone diagram. It also discusses the importance of using logic and reasoning to solve problems.
Part Two: Advanced Problem Solving
The second part of the book covers advanced problem-solving techniques. It includes chapters on number theory, algebra, geometry, and combinatorics.
Chapter 4: Number Theory
This chapter covers various topics in number theory such as prime numbers, divisibility, and modular arithmetic. It also discusses the importance of using number theory in problem-solving.
Chapter 5: Algebra
This chapter covers various topics in algebra such as equations, inequalities, and functions. It also discusses the importance of using algebra in problem-solving.
Chapter 6: Geometry
This chapter covers various topics in geometry such as lines, angles, and triangles. It also discusses the importance of using geometry in problem-solving.
Chapter 7: Combinatorics
This chapter covers various topics in combinatorics such as permutations, combinations, and probability. It also discusses the importance of using combinatorics in problem-solving.
Conclusion
The Art and Craft of Problem Solving book is an excellent guide for anyone who wants to develop their problem-solving skills. The book covers various problem-solving strategies, techniques, and tools. It also covers advanced problem-solving topics such as number theory, algebra, geometry, and combinatorics.